Cleaned NFL Data Report

Dataset statistics

Number of variables	12
Number of observations	3013
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	282.6 KiB
Average record size in memory	96.0 B

Variable types

NUM	9
CAT	2
BOOL	1

Warnings

`df_index` has unique values	Unique
`Player` has unique values	Unique

Reproduction

Analysis started	2021-01-08 02:29:18.926944
Analysis finished	2021-01-08 02:29:30.271959
Duration	11.35 seconds
Software version	pandas-profiling v2.9.0
Download configuration	config.yaml

df_index
Real number (ℝ_≥0)

UNIQUE

Distinct	3013
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	3469.127116
Minimum	2
Maximum	6820
Zeros	0
Zeros (%)	0.0%
Memory size	23.5 KiB

Quantile statistics

Minimum	2
5-th percentile	388.2
Q1	1950
median	3561
Q3	5016
95-th percentile	6363.2
Maximum	6820
Range	6818
Interquartile range (IQR)	3066

Descriptive statistics

Standard deviation	1864.825383
Coefficient of variation (CV)	0.5375488764
Kurtosis	-1.066624468
Mean	3469.127116
Median Absolute Deviation (MAD)	1544
Skewness	-0.07563128932
Sum	10452480
Variance	3477573.709
Monotocity	Strictly increasing

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
6719	1	< 0.1%
6276	1	< 0.1%
1366	1	< 0.1%
6518	1	< 0.1%
1362	1	< 0.1%
3409	1	< 0.1%
1360	1	< 0.1%
1356	1	< 0.1%
3403	1	< 0.1%
1354	1	< 0.1%
Other values (3003)	3003	99.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
2	1	< 0.1%
7	1	< 0.1%
9	1	< 0.1%
11	1	< 0.1%
12	1	< 0.1%

Value	Count	Frequency (%)
6820	1	< 0.1%
6818	1	< 0.1%
6817	1	< 0.1%
6815	1	< 0.1%
6813	1	< 0.1%

Player
Categorical

UNIQUE

Distinct	3013
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Memory size	23.5 KiB

Kenny Young	1
Antone Exum	1
Igor Olshansky	1
Javon Hargrave	1
Dante' Hall	1
Other values (3008)	3008

Frequencies
Length

Common Values
Overview

Value	Count	Frequency (%)
Kenny Young	1	< 0.1%
Antone Exum	1	< 0.1%
Igor Olshansky	1	< 0.1%
Javon Hargrave	1	< 0.1%
Dante' Hall	1	< 0.1%
Mike Sims-Walker	1	< 0.1%
Beau Sandland	1	< 0.1%
Nick Vannett	1	< 0.1%
Wayne Hunter	1	< 0.1%
Chris Galippo	1	< 0.1%
Other values (3003)	3003	99.7%

Frequencies of value counts

Unique

Unique	3013 ?
Unique (%)	100.0%

Histogram of lengths of the category

Length

Max length	27
Median length	13
Mean length	12.90939263
Min length	7

Pos
Categorical

Distinct	7
Distinct (%)	0.2%
Missing	0
Missing (%)	0.0%
Memory size	23.5 KiB

OL	659
DB	590
DL	584
LB	393
WR	301
Other values (2)	486

Frequencies
Length

Value	Count	Frequency (%)
OL	659	21.9%
DB	590	19.6%
DL	584	19.4%
LB	393	13.0%
WR	301	10.0%
RB	268	8.9%
TE	218	7.2%

Frequencies of value counts

Unique

Unique	0 ?
Unique (%)	0.0%

Histogram of lengths of the category

Length

Max length	2
Median length	2
Mean length	2
Min length	2

Ht
Real number (ℝ_≥0)

Distinct	17
Distinct (%)	0.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	74.03916362
Minimum	65
Maximum	81
Zeros	0
Zeros (%)	0.0%
Memory size	23.5 KiB

Quantile statistics

Minimum	65
5-th percentile	69
Q1	72
median	74
Q3	76
95-th percentile	78
Maximum	81
Range	16
Interquartile range (IQR)	4

Descriptive statistics

Standard deviation	2.696917889
Coefficient of variation (CV)	0.03642555854
Kurtosis	-0.4436535815
Mean	74.03916362
Median Absolute Deviation (MAD)	2
Skewness	-0.2750207079
Sum	223080
Variance	7.2733661
Monotocity	Not monotonic

Histogram with fixed size bins (bins=17)

Value	Count	Frequency (%)
76	442	14.7%
75	439	14.6%
73	360	11.9%
74	351	11.6%
77	303	10.1%
72	287	9.5%
71	231	7.7%
70	173	5.7%
78	158	5.2%
69	108	3.6%
Other values (7)	161	5.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
65	1	< 0.1%
66	4	0.1%
67	16	0.5%
68	42	1.4%
69	108	3.6%

Value	Count	Frequency (%)
81	2	0.1%
80	24	0.8%
79	72	2.4%
78	158	5.2%
77	303	10.1%

Wt
Real number (ℝ_≥0)

Distinct	189
Distinct (%)	6.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	252.0375041
Minimum	166
Maximum	370
Zeros	0
Zeros (%)	0.0%
Memory size	23.5 KiB

Quantile statistics

Minimum	166
5-th percentile	189
Q1	210
median	247
Q3	300
95-th percentile	323
Maximum	370
Range	204
Interquartile range (IQR)	90

Descriptive statistics

Standard deviation	46.34712537
Coefficient of variation (CV)	0.1838897966
Kurtosis	-1.257092653
Mean	252.0375041
Median Absolute Deviation (MAD)	43
Skewness	0.2037557047
Sum	759389
Variance	2148.05603
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
309	44	1.5%
210	40	1.3%
303	39	1.3%
307	39	1.3%
204	38	1.3%
211	37	1.2%
209	37	1.2%
202	37	1.2%
306	36	1.2%
300	35	1.2%
Other values (179)	2631	87.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
166	1	< 0.1%
168	1	< 0.1%
169	2	0.1%
170	1	< 0.1%
171	1	< 0.1%

Value	Count	Frequency (%)
370	1	< 0.1%
369	1	< 0.1%
366	1	< 0.1%
358	1	< 0.1%
355	3	0.1%

Forty
Real number (ℝ_≥0)

Distinct	148
Distinct (%)	4.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	4.818927979
Minimum	4.26
Maximum	9.99
Zeros	0
Zeros (%)	0.0%
Memory size	23.5 KiB

Quantile statistics

Minimum	4.26
5-th percentile	4.41
Q1	4.55
median	4.72
Q3	5.06
95-th percentile	5.4
Maximum	9.99
Range	5.73
Interquartile range (IQR)	0.51

Descriptive statistics

Standard deviation	0.395987359
Coefficient of variation (CV)	0.08217332999
Kurtosis	56.06475599
Mean	4.818927979
Median Absolute Deviation (MAD)	0.22
Skewness	4.730393578
Sum	14519.43
Variance	0.1568059885
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
4.5	75	2.5%
4.65	62	2.1%
4.6	61	2.0%
4.62	61	2.0%
4.56	58	1.9%
4.53	57	1.9%
4.59	55	1.8%
4.51	49	1.6%
4.58	49	1.6%
4.52	47	1.6%
Other values (138)	2439	80.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
4.26	1	< 0.1%
4.28	3	0.1%
4.29	3	0.1%
4.3	3	0.1%
4.31	9	0.3%

Value	Count	Frequency (%)
9.99	6	0.2%
6	1	< 0.1%
5.86	1	< 0.1%
5.85	1	< 0.1%
5.82	1	< 0.1%

Vertical
Real number (ℝ_≥0)

Distinct	52
Distinct (%)	1.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	32.63923
Minimum	19.5
Maximum	45.5
Zeros	0
Zeros (%)	0.0%
Memory size	23.5 KiB

Quantile statistics

Minimum	19.5
5-th percentile	25
Q1	29.5
median	33
Q3	35.5
95-th percentile	39.5
Maximum	45.5
Range	26
Interquartile range (IQR)	6

Descriptive statistics

Standard deviation	4.287588368
Coefficient of variation (CV)	0.1313630367
Kurtosis	-0.3416012776
Mean	32.63923
Median Absolute Deviation (MAD)	3
Skewness	-0.1768741473
Sum	98342
Variance	18.38341402
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
34	146	4.8%
33.5	145	4.8%
35	141	4.7%
35.5	140	4.6%
33	139	4.6%
34.5	136	4.5%
32	133	4.4%
36	133	4.4%
32.5	116	3.8%
30	105	3.5%
Other values (42)	1679	55.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
19.5	1	< 0.1%
20	1	< 0.1%
20.5	2	0.1%
21	4	0.1%
21.5	4	0.1%

Value	Count	Frequency (%)
45.5	1	< 0.1%
45	3	0.1%
44	1	< 0.1%
43.5	4	0.1%
43	3	0.1%

BenchReps
Real number (ℝ_≥0)

Distinct	44
Distinct (%)	1.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	20.9724527
Minimum	2
Maximum	45
Zeros	0
Zeros (%)	0.0%
Memory size	23.5 KiB

Quantile statistics

Minimum	2
5-th percentile	11
Q1	16
median	21
Q3	25
95-th percentile	32
Maximum	45
Range	43
Interquartile range (IQR)	9

Descriptive statistics

Standard deviation	6.37435291
Coefficient of variation (CV)	0.3039393151
Kurtosis	-0.03191149246
Mean	20.9724527
Median Absolute Deviation (MAD)	4
Skewness	0.1986224611
Sum	63190
Variance	40.63237502
Monotocity	Not monotonic

Histogram with fixed size bins (bins=44)

Value	Count	Frequency (%)
19	193	6.4%
23	183	6.1%
21	181	6.0%
24	176	5.8%
20	171	5.7%
22	171	5.7%
17	170	5.6%
18	156	5.2%
15	148	4.9%
26	147	4.9%
Other values (34)	1317	43.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
2	1	< 0.1%
3	1	< 0.1%
4	5	0.2%
5	2	0.1%
6	7	0.2%

Value	Count	Frequency (%)
45	2	0.1%
44	1	< 0.1%
43	1	< 0.1%
42	3	0.1%
41	2	0.1%

BroadJump
Real number (ℝ_≥0)

Distinct	57
Distinct (%)	1.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	113.4769333
Minimum	82
Maximum	140
Zeros	0
Zeros (%)	0.0%
Memory size	23.5 KiB

Quantile statistics

Minimum	82
5-th percentile	96
Q1	107
median	115
Q3	120
95-th percentile	128
Maximum	140
Range	58
Interquartile range (IQR)	13

Descriptive statistics

Standard deviation	9.587640874
Coefficient of variation (CV)	0.08448977775
Kurtosis	-0.3279653551
Mean	113.4769333
Median Absolute Deviation (MAD)	6
Skewness	-0.3628783329
Sum	341906
Variance	91.92285752
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
118	148	4.9%
121	140	4.6%
120	137	4.5%
115	137	4.5%
117	132	4.4%
116	118	3.9%
113	116	3.8%
114	115	3.8%
119	112	3.7%
112	103	3.4%
Other values (47)	1755	58.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
82	2	0.1%
85	1	< 0.1%
86	1	< 0.1%
87	1	< 0.1%
88	4	0.1%

Value	Count	Frequency (%)
140	1	< 0.1%
139	2	0.1%
138	1	< 0.1%
137	1	< 0.1%
136	3	0.1%

Cone
Real number (ℝ_≥0)

Distinct	274
Distinct (%)	9.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	7.194829074
Minimum	3.97
Maximum	9.04
Zeros	0
Zeros (%)	0.0%
Memory size	23.5 KiB

Quantile statistics

Minimum	3.97
5-th percentile	6.6
Q1	6.95
median	7.19
Q3	7.58
95-th percentile	8.1
Maximum	9.04
Range	5.07
Interquartile range (IQR)	0.63

Descriptive statistics

Standard deviation	0.7059513273
Coefficient of variation (CV)	0.09811926316
Kurtosis	7.664803669
Mean	7.194829074
Median Absolute Deviation (MAD)	0.29
Skewness	-2.152367367
Sum	21678.02
Variance	0.4983672766
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
7.09	53	1.8%
7.07	47	1.6%
7.08	45	1.5%
7	45	1.5%
6.9	44	1.5%
6.96	39	1.3%
6.94	38	1.3%
7.15	37	1.2%
6.97	36	1.2%
7.12	36	1.2%
Other values (264)	2593	86.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3.97	1	< 0.1%
3.99	1	< 0.1%
4.03	1	< 0.1%
4.04	1	< 0.1%
4.07	1	< 0.1%

Value	Count	Frequency (%)
9.04	1	< 0.1%
9	1	< 0.1%
8.84	1	< 0.1%
8.78	1	< 0.1%
8.72	2	0.1%

Shuttle
Real number (ℝ_≥0)

Distinct	218
Distinct (%)	7.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	4.519064056
Minimum	3.75
Maximum	8.28
Zeros	0
Zeros (%)	0.0%
Memory size	23.5 KiB

Quantile statistics

Minimum	3.75
5-th percentile	4.04
Q1	4.21
median	4.38
Q3	4.63
95-th percentile	5.07
Maximum	8.28
Range	4.53
Interquartile range (IQR)	0.42

Descriptive statistics

Standard deviation	0.6098972767
Coefficient of variation (CV)	0.1349609718
Kurtosis	14.22807791
Mean	4.519064056
Median Absolute Deviation (MAD)	0.2
Skewness	3.553528472
Sum	13615.94
Variance	0.3719746881
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
4.4	69	2.3%
4.28	69	2.3%
4.2	62	2.1%
4.21	61	2.0%
4.25	61	2.0%
4.15	60	2.0%
4.07	55	1.8%
4.18	54	1.8%
4.32	52	1.7%
4.37	50	1.7%
Other values (208)	2420	80.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3.75	1	< 0.1%
3.8	1	< 0.1%
3.81	2	0.1%
3.82	3	0.1%
3.83	1	< 0.1%

Value	Count	Frequency (%)
8.28	1	< 0.1%
8.15	1	< 0.1%
8.13	1	< 0.1%
8.06	1	< 0.1%
8.02	1	< 0.1%

pro bowl?
Boolean

Distinct	2
Distinct (%)	0.1%
Missing	0
Missing (%)	0.0%
Memory size	23.5 KiB

0	2753
1	260

Common Values
Chart

Value	Count	Frequency (%)
0	2753	91.4%
1	260	8.6%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

First rows

	df_index	Player	Pos	Ht	Wt	Forty	Vertical	BenchReps	BroadJump	Cone	Shuttle
0	2	Darnell Alford	OL	76	334	5.56	25.0	23.0	94.0	8.48	4.98
1	7	Corey Atkins	LB	72	237	4.72	31.0	21.0	112.0	7.96	4.39
2	9	Reggie Austin	DB	69	175	4.44	35.0	17.0	119.0	7.03	4.14
3	11	Mark Baniewicz	OL	78	312	5.34	28.0	20.0	96.0	7.72	4.73
4	12	Rashidi Barnes	DB	72	208	4.62	35.0	10.0	114.0	6.92	4.32
5	13	David Barrett	DB	70	199	4.44	37.5	16.0	116.0	6.81	4.04
6	20	Rogers Beckett	DB	73	207	4.62	39.5	15.0	119.0	6.48	4.29
7	21	Brad Bedell	OL	76	302	5.07	31.5	17.0	103.0	7.76	4.58
8	22	Marcus Bell-01	LB	74	237	4.78	31.5	21.0	111.0	7.17	4.33
9	24	Michael Boireau	DL	76	274	5.09	29.0	26.0	105.0	7.68	4.49

Last rows

	df_index	Player	Pos	Ht	Wt	Forty	Vertical	BenchReps	BroadJump	Cone	Shuttle
3003	6804	Evan Weaver	LB	74	235	4.76	32.0	15.0	117.0	7.02	4.21
3004	6808	Darryl Williams	OL	75	310	5.23	25.5	23.0	102.0	7.88	4.76
3005	6809	Raequan Williams	DL	76	303	5.04	25.5	17.0	101.0	7.72	4.78
3006	6811	Isaiah Wilson	OL	79	340	5.32	29.0	26.0	110.0	8.26	5.07
3007	6812	Logan Wilson	LB	74	241	4.63	32.0	21.0	121.0	7.07	4.27
3008	6813	Rob Windsor	DL	76	285	4.90	28.5	21.0	111.0	7.47	4.44
3009	6815	Tristan Wirfs	OL	77	322	4.85	36.5	24.0	121.0	7.65	4.68
3010	6817	Charlie Woerner	TE	77	245	4.78	34.5	21.0	120.0	7.18	4.46
3011	6818	D.J. Wonnum	DL	77	254	4.73	34.5	20.0	123.0	7.25	4.44
3012	6820	David Woodward	LB	74	235	4.79	33.5	16.0	114.0	7.34	4.37

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows